Ion Traps and the Memory Effect for Periodic Gravitational Waves

P.-M. Zhang , M. Cariglia , C. Duval (1) , M. Elbistan , G.W. Gibbons , P.A. Horvathy (2)

1 CPT - Centre de Physique Théorique - UMR 7332
2 IDP - Institut Denis Poisson

The Eisenhart lift of a Paul trap used to store ions in molecular physics is a linearly polarized periodic gravitational wave. A modified version of Dehmelt’s Penning trap is, in turn, related to circularly polarized periodic gravitational waves, sought in inflationary models. Similar equations also govern the Lagrange points in celestial mechanics. The explanation is provided by anisotropic oscillators.

Mots clés: gravitational waves; ion traps; perturbed anisotropic oscillator; General relativity; alternative theories of gravity; inflation: model; gravitational radiation; gravitational radiation detector; ion; Penning trap; oscillator; mechanics

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Astrophysique [astro-ph]; Physique des Hautes Energies - Théorie [hep-th]; Physique Générale [physics.gen-ph]

P.-M. Zhang, M. Cariglia, C. Duval, M. Elbistan, G.W. Gibbons, et al.. Ion Traps and the Memory Effect for Periodic Gravitational Waves. Physical Review D, 2018, 98 (4), pp.044037. ⟨10.1103/PhysRevD.98.044037⟩. ⟨hal-01846820⟩